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From the Basic Homotopy Lemma to the Classification of $C^*$-algebras

elementary introduction to the technical part of the theory is given via a basic homotopy lemma concerning a pair of almost commuting unitaries. The;

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Covering Dimension of C*-Algebras and 2-Coloured Classification

unitary equivalence is the $1$-coloured case. They use this notion to classify $^*$-homomorphisms from separable, unital, nuclear $mathrm C;

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Algebraic Homotopy

, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful;

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Cambridge Studies in Advanced Mathematics

, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful;

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A Tool Kit for Groupoid $C^{*}$-Algebras

wants to use groupoid $C^{*}$-algebras in their work. The main focus is to equip the reader with modern versions of the basic technical tools;

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Crossed Products of C*-Algebras, Topological Dynamics, and Classification

and its role in the classification program of simple, nuclear, separable C*-algebras. The second series of lectures, delivered by N;

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An Introduction to C*-Algebras and the Classification Program

This book is directed towards graduate students that wish to start from the basic theory of C*-algebras and advance to an overview of some;

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Algebraic Structure of String Field Theory

from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view;

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Introduction To K-Theory For C*-Algebras

Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to;

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An Introduction to K-Theory for C*-Algebras

Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to;

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Semisimple Lie Algebras

This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie;

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Semisimple Lie Algebras

This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie;

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Non Associative Normed Algebras

give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and;

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An Illustrated Introduction to Topology and Homotopy

An Illustrated Introduction to Topology and Homotopy explores the beauty of topology and homotopy theory in a direct and engaging manner;

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Algebraic Methods In Unstable Homotopy Theory

The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which;

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Hopf Algebras in Noncommutative Geometry and Physics

. It focuses on new results in classical Hopf algebras as well as the classification theory of finite dimensional Hopf algebras, categorical;

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C*-Algebras

workshop was to bring together leading experts in the theory of C* -algebras with promising young researchers in the field, and to provide a;

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Representation Theory and Beyond

algebras, and the higher Auslander-Reiten theory studied via homotopy theory.;

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London Mathematical Society Lecture Note Series

Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done;

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New Directions in Hopf Algebras

the 1970s has led to progress on the classification of semisimple Hopf algebras and on the structure of pointed Hopf algebras. Among the;

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Mathematical Sciences Research Institute Publications

the 1970s has led to progress on the classification of semisimple Hopf algebras and on the structure of pointed Hopf algebras. Among the;

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Leibniz Algebras

Leibniz Algebras: Structure and Classification is designed to introduce the reader to the theory of Leibniz algebras. Leibniz algebra;

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Leibniz Algebras

Leibniz Algebras: Structure and Classification is designed to introduce the reader to the theory of Leibniz algebras. Leibniz algebra;

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Real Operator Algebras

algebras and to give a systematic discussion for real operator algebras. Since the treatment is from the beginning (real Banach and Hilbert spaces;

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Hopf Algebras and Root Systems

main goal of the book is to present from scratch and with complete proofs the theory of Nichols algebras (or quantum symmetric algebras) and;

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C*-Algebra Extensions and K-Homology. (AM-95), Volume 95

Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas;

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Hopf Algebras

algebras to investigate a notion of group-like algebras and summarizes results on the classification of Hopf algebras of dimension pq. It also;

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